Zeitschrift für Physik

, Volume 267, Issue 3, pp 229–237 | Cite as

Hexadecapole interaction in the atomic ground state of165Ho

  • W. Dankwort
  • J. Ferch
  • H. Gebauer


Using the atomic beam magnetic resonance method several hyperfine transitions in the ground state of165Ho were measured at magnetic fields near zero Oe. Including a hexadecapole interaction constantD a perfect fit of the seven hyperfine separations was possible giving the following results:A′=800.583645 (6)MHz,C′=−1.504 (37)kHzB′=−1668.00527 (33)MHz,D′=−0.137 (14)kHz. These interaction constants have been corrected for second order hyperfine interaction within the4I ground multiplet. The corrected constants are the following:A=800.583173 (36)MHz,C=−0.249 (140)kHzB=−1668.078 70 (330) MHz,D=−0.148 (16) kHz. Using a value for 〈r 4f /−5 Ho of Fraga a nuclear hexadecapole moment can be calculated:Π(165Ho)=0.89·10−48cm4. Because of severe uncertainties still present in the theory for calculating the electronic matrix elements this value can be only regarded as highly speculative.


Magnetic Field Matrix Element Hyperfine Interaction Atomic Beam Interaction Constant 
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  1. 1.
    Schüler, H., Schmidt, T.: Naturwiss.23, 69 (1935)Google Scholar
  2. 2.
    Klinkenberg, P.: Physika13, 1 (1947)Google Scholar
  3. 3.
    Goodman, L.S., Kopfermann, H., Schlüpmann, K.: Naturwiss.49, 101 (1962)Google Scholar
  4. 4.
    Goodman, L.S., Schlüpmann, K.: Z. Physik178, 235 (1964)Google Scholar
  5. 5.
    Schwartz, C.: Phys. Rev.87, 380 (1955)Google Scholar
  6. 6.
    Merzyn, G., Penselin, S., Wolber, G.: Z. Physik252, 412 (1972)Google Scholar
  7. 7.
    v. Ehrenstein, D.: Ann. Phys.7, 343 (1961)Google Scholar
  8. 8.
    Dahmen, H., Penselin, S.: Z. Physik200, 456 (1967)Google Scholar
  9. 9.
    Penselin, S., Moran, T., Cohen, V.W., Winkler, G.: Phys. Rev.127, 524 (1962)Google Scholar
  10. 10.
    Ferch, J.: Dissertation, Bonn 1972, unpublishedGoogle Scholar
  11. 11.
    Dankwort, W., Ferch, J.: Z. Physik267, 239 (1974)Google Scholar
  12. 12.
    Woodgate, G.K.: Proc. Roy. Soc.293, 117 (1966)Google Scholar
  13. 13.
    Blaise, J., Wyart, J.-F.: Private communicationGoogle Scholar
  14. 14.
    Haberstroh, R., Moran, T., Penselin, S.: Z. Physik252, 421 (1972)Google Scholar
  15. 15.
    Ferch, J., Dankwort, W., Gebauer, H.: to be publishedGoogle Scholar
  16. 16.
    Trees, F.E.: Phys. Rev.92, 308 (1953)Google Scholar
  17. 17.
    Wybourne, B.G.: J. Chem. Phys.37, 1807 (1962)Google Scholar
  18. 17a.
    Wybourne, B.G.: Spectroscopic Properties of Rare Earths. New York: John Wiley & Sons, Inc., 1965Google Scholar
  19. 18.
    Froese, Ch.: J. Chem. Phys.45, 1417 (1966)Google Scholar
  20. 19.
    Fraga, S., Saxena, K.M.S.: Technical Report TC-7202, University of Alberta, 1972Google Scholar
  21. 20.
    Rosén, A., Lindgren, I.: Second International Conference on Atomic Physics, Oxford, 1970Google Scholar
  22. 21.
    Robertson, R.G.H., Waddington, J.C., Summers-Gill, R.G.: Can. J. Phys.46, 2499 (1968)Google Scholar
  23. 22.
    Childs, W.J., Goodman, L.S.: J. Opt. Soc. Am.59, 875 (1969)Google Scholar
  24. 23.
    Armstrong, L.: Theory of Hyperfine Structure. New York: Wiley-Interscience, 1971Google Scholar
  25. 24.
    Judd, B.R.: Operator Techniques in Atomic Spectroscopy. New York: McGraw-Hill Book Comp. Inc., 1963Google Scholar
  26. 25.
    Nielson, C.W., Koster, G.F.: Spectroscopic Coefficients forp n, dn andf n Configurations. Cambridge (Mass.): MIT-Press, 1963Google Scholar
  27. 26.
    Judd, B.R.: J. Math. Phys.3, 557 (1962)Google Scholar
  28. 27.
    See, e.g.: Dawydow, A.S.: Theorie d. Atomkerns, Berlin: Deutsch. Verl. d. Wiss., 1963Google Scholar
  29. 28.
    Elbek, B.: Determination of Nuclear Transition Probabilities by Coulomb Excitation, Copenhagen: Ejnar Munksgaards Forl., 1963Google Scholar
  30. 28a.
    Axel, P., Miller, J., Schuhl, C., Tamas, G., Tzara, C.: J. Phys. (Paris)27, 262 (1966)Google Scholar
  31. 29.
    Lamm, I.-L.: Nucl. Phys. A125, 504 (1969)Google Scholar
  32. 30.
    Nilsson, B.: Nucl. Phys. A129, 445 (1969)Google Scholar

Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • W. Dankwort
    • 1
    • 2
  • J. Ferch
    • 1
    • 3
  • H. Gebauer
    • 1
  1. 1.Institut für Angewandte Physik der Universität BonnFederal Republic of Germany
  2. 2.Lehrstuhl für Theoretische Astrophysik der Universität TübingenFederal Republic of Germany
  3. 3.Fakultät für Physik der Universität BielefeldFederal Republic of Germany

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